In the debate over the mind and body, Leibniz's law is used to argue that

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Leibniz's law, also known as the identity of indiscernibles, posits that if two things are identical, then they must share all the same properties. In the context of the mind-body debate, it is used to argue that because the mind and the body have different properties (e.g., mental states are subjective, while physical states are objective), they cannot be identical, supporting dualism.

In the Debate Over the Mind and Body, Leibniz's Law